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Finding the Fourth Proportional to 5,198.72, 7,791.16 and 2,562.20

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Solution

The fourth proportional to 5,198.72, 7,791.16 and 2,562.20 is: 3,839.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.72 : 7,791.16 = 2,562.20 : x
  2. Step 2: Convert to fraction form
    5,198.72/7,791.16 = 2,562.20/x
  3. Step 3: Cross multiply
    5,198.72x = 7,791.16 × 2,562.20
  4. Step 4: Simplify right side
    5,198.72x = 19,962,510.15
  5. Step 5: Solve for x
    x = 19,962,510.15/5,198.72
  6. Step 6: Final answer
    x = 3,839.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.